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Finding the Fourth Proportional to 559.65, 772.19 and 338.61

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Solution

The fourth proportional to 559.65, 772.19 and 338.61 is: 467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.65 : 772.19 = 338.61 : x
  2. Step 2: Convert to fraction form
    559.65/772.19 = 338.61/x
  3. Step 3: Cross multiply
    559.65x = 772.19 × 338.61
  4. Step 4: Simplify right side
    559.65x = 261,471.26
  5. Step 5: Solve for x
    x = 261,471.26/559.65
  6. Step 6: Final answer
    x = 467.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.